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Finding the Fourth Proportional to 524.94, 786.02 and 341.78

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Solution

The fourth proportional to 524.94, 786.02 and 341.78 is: 511.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.94 : 786.02 = 341.78 : x
  2. Step 2: Convert to fraction form
    524.94/786.02 = 341.78/x
  3. Step 3: Cross multiply
    524.94x = 786.02 × 341.78
  4. Step 4: Simplify right side
    524.94x = 268,645.92
  5. Step 5: Solve for x
    x = 268,645.92/524.94
  6. Step 6: Final answer
    x = 511.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.